Basically what you'd want to do is download the files from your old site via FTP to your local computer, and then upload those files to your new site with us. However I see a note on your account that there might be nearly 80GB worth of files, which would make this method very time consuming.

Typically from our end we use lftp mirror to copy website files from your previous host directly server-to-server. In order for us to do this though, we would need to know the credentials of your previous host.

You can submit this information in a support ticket by sending an email to support@inmotionhosting.com and we should be able to begin this transfer process for you for free. Please note that with that amount of data, and depending on the speed of your previous host, it might take a decent amount of time for all of the files to be transferred.